极限公式 一览表（学越千山函数的极限）
极限公式 一览表（学越千山函数的极限）Welcome to visit.Today the editor brings the “函数的极限”.欢迎您的访问。Share interest spread happiness increase knowledge and leave beautiful!Dear this is the LearningYard Academy!
分享兴趣，传播快乐，增长见闻，留下美好！
亲爱的您，这里是LearningYard新学苑。
今天小编为大家带来“函数的极限”，
欢迎您的访问。
Share interest spread happiness increase knowledge and leave beautiful!
Dear this is the LearningYard Academy!
Today the editor brings the “函数的极限”.
Welcome to visit.
函数的极限在数学中运用非常广泛，函数的单调性、图像、导数，定理的证明都需要用到它。这一节分为函数的定义和函数的性质两部分。
The limit of function is widely used in mathematics. It is necessary to prove the monotonicity image derivative and theorem of function. This section is divided into two parts: the definition of function and the nature of function.
学习数学要注意三点：
1、 数形结合
2、 理解记忆
3、 知道用在哪里
Three points should be paid attention to when learning mathematics:
1. Combination of number and shape
2. Understanding memory
3. Know where to use
今天我们来重点了解一下函数的性质：
Today we will focus on the properties of functions:
唯一性
可理解为：这个函数在这一点的极限只有两种可能，没有或只有一个。（因为函数的定义中自变量x通过对应法则有唯一确定的函数值y）
Uniqueness
It can be understood as: there are only two possibilities for the limit of this function at this point no or only one. (Because the independent variable x in the definition of a function has a uniquely determined function value y through the corresponding rule)
局部有界性
即函数在极限点的去心领域内有界，而定义域内不一定有界。判断函数在某区间有无界时可用。
Local boundedness
That is the function is bounded in the de centering domain of the limit point but not necessarily in the definition domain
The judgment function is available when an interval is unbounded.
局部保号性
即函数在极限点（不为零）的去心领域内函数值符号不变。
可在需确定值得符号或求一定范围的符号时使用。
Local number preservation
That is the sign of the function value remains unchanged in the de centering domain of the function at the limit point (not zero).
It can be used when the symbol to determine the value or the symbol to calculate a certain range.
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参考资料：百度翻译、高等数学第七版（同济大学数学系 编）
本文由LearningYard新学苑整理并发出，如有侵权请后台留言沟通。
